5171764880 has 80 divisors (see below), whose sum is σ = 12459046320. Its totient is φ = 1994151936.

The previous prime is 5171764877. The next prime is 5171764883. The reversal of 5171764880 is 884671715.

It is an interprime number because it is at equal distance from previous prime (5171764877) and next prime (5171764883).

It can be written as a sum of positive squares in 8 ways, for example, as 17673616 + 5154091264 = 4204^2 + 71792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5171764883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847642 + ... + 1850438.

It is an arithmetic number, because the mean of its divisors is an integer number (155738079).

Almost surely, 2^5171764880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5171764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229523160).

5171764880 is an abundant number, since it is smaller than the sum of its proper divisors (7287281440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5171764880 is a wasteful number, since it uses less digits than its factorization.

5171764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 47.

The square root of 5171764880 is about 71914.9836960282. The cubic root of 5171764880 is about 1729.3368302494.

The spelling of 5171764880 in words is "five billion, one hundred seventy-one million, seven hundred sixty-four thousand, eight hundred eighty".